Mathematics

Authors and titles for July 2014

[2201] arXiv:1407.7617 [pdf, other]

Title: Exponential concentration of cover times

Alex Zhai

Subjects: Probability (math.PR)

[2202] arXiv:1407.7618 [pdf, other]

Title: Progressive construction of a parametric reduced-order model for PDE-constrained optimization

Matthew J. Zahr, Charbel Farhat

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[2203] arXiv:1407.7623 [pdf, other]

Title: Branching random walk with a random environment in time

Chunmao Huang, Quansheng Liu

Subjects: Probability (math.PR)

[2204] arXiv:1407.7629 [pdf, other]

Title: Efficient Approximation of Channel Capacities

Tobias Sutter, David Sutter, Peyman Mohajerin Esfahani, John Lygeros

Comments: 32 pages, 3 figures, revised version

Journal-ref: IEEE Transactions on Information Theory vol. 61, no 4, pages 1649-1666, 2015

Subjects: Information Theory (cs.IT); Optimization and Control (math.OC)

[2205] arXiv:1407.7630 [pdf, other]

Title: On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: $L^\infty$ estimate

Wei Sun

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Differential Geometry (math.DG)

[2206] arXiv:1407.7632 [pdf, other]

Title: A vanishing theorem on fake projective planes with enough automorphisms

JongHae Keum

Comments: 17 pages

Subjects: Algebraic Geometry (math.AG)

[2207] arXiv:1407.7634 [pdf, other]

Title: On metric viscosity solutions for Hamilton-Jacobi equations of evolution type

Atsushi Nakayasu

Subjects: Analysis of PDEs (math.AP)

[2208] arXiv:1407.7637 [pdf, other]

Title: Six generated ACM bundles on a hypersurface

Amit Tripathi

Subjects: Algebraic Geometry (math.AG)

[2209] arXiv:1407.7638 [pdf, other]

Title: Affine extensions of principal additive bundles over a punctured surface

Isac Hedén

Subjects: Algebraic Geometry (math.AG)

[2210] arXiv:1407.7641 [pdf, other]

Title: Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients

Teng Fei, Shing-Tung Yau

Comments: 11 pages, comments are welcome. Updates in v2: minor typos are corrected. Updates in v3: small revisions, to be consistent with published version

Journal-ref: Communications in Mathematical Physics 338(3), 1183-1195 (2015)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

[2211] arXiv:1407.7648 [pdf, other]

Title: Functor homology and homology of commutative monoids

R. Kurdiani, T. Pirashvili

Subjects: K-Theory and Homology (math.KT)

[2212] arXiv:1407.7659 [pdf, other]

Title: Donaldson-Thomas theory for Calabi-Yau 4-folds

Yalong Cao, Naichung Conan Leung

Comments: v2: 47 pages, some corrections and improvements

Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[2213] arXiv:1407.7662 [pdf, other]

Title: Convergence of rank based degree-degree correlations in random directed networks

Pim van der Hoorn, Nelly Litvak

Subjects: Probability (math.PR)

[2214] arXiv:1407.7680 [pdf, other]

Title: Uniform recovery of fusion frame structured sparse signals

Ulaş Ayaz, Sjoerd Dirksen, Holger Rauhut

Subjects: Information Theory (cs.IT)

[2215] arXiv:1407.7684 [pdf, other]

Title: CB-norm estimates for maps between noncommutative $L_p$-spaces and quantum channel theory

Marius Junge, Carlos Palazuelos

Comments: 1 Figure. Comments are welcome!

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA); Quantum Physics (quant-ph)

[2216] arXiv:1407.7687 [pdf, other]

Title: Embedding topological fractals in universal spaces

Taras Banakh, Filip Strobin

Comments: 5 pages

Journal-ref: J. Fractal Geom. 2:4 (2015), 377-388

Subjects: General Topology (math.GN); Metric Geometry (math.MG)

[2217] arXiv:1407.7700 [pdf, other]

Title: Mixing properties and the chromatic number of Ramanujan complexes

Shai Evra, Konstantin Golubev, Alexander Lubotzky

Journal-ref: International Mathematics Research Notices, Volume 2015, Issue 22, 2015, Pages 11520 -- 11548

Subjects: Combinatorics (math.CO); Group Theory (math.GR); Representation Theory (math.RT)

[2218] arXiv:1407.7701 [pdf, other]

Title: A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto, Shuaikun Wang, Tong Yang

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[2219] arXiv:1407.7703 [pdf, other]

Title: Canard explosion in delayed equations with multiple timescales

Maciej Krupa, Jonathan D. Touboul

Comments: arXiv admin note: substantial text overlap with arXiv:1404.5841

Subjects: Dynamical Systems (math.DS)

[2220] arXiv:1407.7707 [pdf, other]

Title: Number of cliques in graphs with a forbidden subdivision

Choongbum Lee, Sang-il Oum

Comments: 10 pages; to appear in SIAM J. Discrete Math

Journal-ref: SIAM J. Discrete Math., 29(October 2015)(4), pp. 1999-2005

Subjects: Combinatorics (math.CO)

[2221] arXiv:1407.7717 [pdf, other]

Title: Convex duality for stochastic singular control problems

Peter Bank, Helena Kauppila

Subjects: Optimization and Control (math.OC); Portfolio Management (q-fin.PM)

[2222] arXiv:1407.7720 [pdf, other]

Title: Sample genealogy and mutational patterns for critical branching populations

G. Achaz, C. Delaporte, A. Lambert

Comments: 28 pages, 6 figures

Subjects: Probability (math.PR); Populations and Evolution (q-bio.PE)

[2223] arXiv:1407.7726 [pdf, other]

Title: A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers

Bai-Ni Guo, Feng Qi

Comments: 4 pages

Journal-ref: Global Journal of Mathematical Analysis 3 (2015), no. 1, 33-36

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[2224] arXiv:1407.7743 [pdf, other]

Title: Multisolitonic solutions from a B\"acklund transformation for a parametric coupled Korteweg-de Vries system

L. Cortés Vega, A. Restuccia, A. Sotomayor

Comments: In this second version of 23 pages we also considered static solutions which play the role of a background for the system. We also discussed about the regularity of the solutions. We added some figures illustrating the solutions, including the one solitonic solution interacting with the static-background one. We modify the abstract and conclusions in view of these improvements

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[2225] arXiv:1407.7745 [pdf, other]

Title: Groups with Context-Free Co-Word Problem and Embeddings into Thompson's Group $V$

Rose Berns-Zieve, Dana Fry, Johnny Gillings, Hannah Hoganson, Heather Mathews

Comments: 13 pages, 8 figures

Subjects: Group Theory (math.GR)

[2226] arXiv:1407.7750 [pdf, other]

Title: Invitation to Integral and Rational points on curves and surfaces

Pranabesh Das, Amos Turchet

Comments: Second version - including referee suggested modifications (pictures missing). Comments are welcome!

Journal-ref: Rational points, rational curves, and entire holomorphic curves on projective varieties, Contemp. Math. 654, pp 53--73, 2015

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[2227] arXiv:1407.7763 [pdf, other]

Title: Social choice, computational complexity, Gaussian geometry, and Boolean functions

Ryan O'Donnell

Comments: In proceedings of the 2014 ICM. Corrected a few minor typos from previous version

Subjects: Probability (math.PR); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)

[2228] arXiv:1407.7768 [pdf, other]

Title: New partially hyperbolic dynamical systems I

Andrey Gogolev, Pedro Ontaneda, Federico Rodriguez Hertz

Comments: 24 pages

Subjects: Dynamical Systems (math.DS)

[2229] arXiv:1407.7771 [pdf, other]

Title: Bootstrap for local rigidity of Anosov automorphisms on the 3-torus

Andrey Gogolev

Comments: 16 pages

Subjects: Dynamical Systems (math.DS)

[2230] arXiv:1407.7774 [pdf, other]

Title: Matrix integrals and generating functions for permutations and one-face rooted hypermaps

Jacob P. Dyer

Comments: 19 pages, 4 figures

Subjects: Combinatorics (math.CO); Mathematical Physics (math-ph)

[2231] arXiv:1407.7775 [pdf, other]

Title: Moduli spaces of modules of Schur-tame algebras

Andrew T. Carroll, Calin Chindris

Comments: arXiv admin note: text overlap with arXiv:1210.3579

Subjects: Representation Theory (math.RT)

[2232] arXiv:1407.7776 [pdf, other]

Title: Interpolation and sampling for analytic selfmappings of the disc

Nacho Monreal Galan, Michael Papadimitrakis

Comments: 21 pages

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[2233] arXiv:1407.7785 [pdf, other]

Title: Sheaves on P2 and generalized Appell functions

Jan Manschot

Comments: 23 pages. v4: improved discussion

Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Number Theory (math.NT)

[2234] arXiv:1407.7786 [pdf, other]

Title: Numerical Methods for the Computation of the Confluent and Gauss Hypergeometric Functions

John W. Pearson, Sheehan Olver, Mason A. Porter

Comments: 42 pages

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS); Mathematical Physics (math-ph); Computational Physics (physics.comp-ph)

[2235] arXiv:1407.7787 [pdf, other]

Title: Halving dynamical systems

Shaun Stevens, Tom Ward, Stefanie Zegowitz

Journal-ref: Contemp. Mathematics, 669, 285-298 (2016)

Subjects: Dynamical Systems (math.DS)

[2236] arXiv:1407.7790 [pdf, other]

Title: Spectral and Energy Spectral Efficiency Optimization of Joint Transmit and Receive Beamforming Based Multi-Relay MIMO-OFDMA Cellular Networks

Kent Tsz Kan Cheung, Shaoshi Yang, Lajos Hanzo

Comments: 17 pages, 10 figures, 1 table, 3 algorithms, to appear in IEEE Transactions on Wireless Communications

Journal-ref: IEEE Transactions on Wireless Communications, Vol. 13, No. 11, pp. 6147 - 6165, Nov. 2014

Subjects: Information Theory (cs.IT)

[2237] arXiv:1407.7800 [pdf, other]

Title: Hypergeometric \tau-functions, Hurwitz numbers and enumeration of paths

J. Harnad, A. Yu. Orlov

Comments: 22 pages. References updated. To appear in Commun. Math. Whys. (in press, 2015)

Journal-ref: Commun. Math. Phys. 338, 267-284 (2015)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Combinatorics (math.CO); Exactly Solvable and Integrable Systems (nlin.SI)

[2238] arXiv:1407.7802 [pdf, other]

Title: An indefinite Laplacian on a rectangle

Jussi Behrndt, David Krejcirik

Comments: to appear in Journal d'Analyse Mathématique

Journal-ref: J. Anal. Math. 134 (2018), 501-522

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[2239] arXiv:1407.7803 [pdf, other]

Title: A Sequent Calculus for Dynamic Topological Logic

Samuel Reid

Comments: 12 pages. Due to a lack of explanation in the soundness proofs and an error in cut-elimination this paper has been withdrawn for further research and editing

Subjects: Logic (math.LO); Logic in Computer Science (cs.LO)

[2240] arXiv:1407.7804 [pdf, other]

Title: Semi-classical analysis of non self-adjoint transfer matrices in statistical mechanics. I

Margherita Disertori, Sasha Sodin

Comments: 28 pp, improved the presentation

Journal-ref: Ann. Henri Poincar\'e (2016) 17: 437

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[2241] arXiv:1407.7810 [pdf, other]

Title: Models and Feedback Stabilization of Open Quantum Systems

Pierre Rouchon

Comments: Extended version of the paper attached to an invited conference for the International Congress of Mathematicians in Seoul, August 13 - 21, 2014

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Quantum Physics (quant-ph)

[2242] arXiv:1407.7811 [pdf, other]

Title: Dimension reduction for data of unknown cluster structure

Ewa Nowakowska, Jacek Koronacki, Stan Lipovetsky

Subjects: Statistics Theory (math.ST)

[2243] arXiv:1407.7820 [pdf, other]

Title: On Estimation of Optimal Treatment Regimes For Maximizing t-Year Survival Probability

Runchao Jiang, Wenbin Lu, Rui Song, Marie Davidian

Subjects: Statistics Theory (math.ST); Methodology (stat.ME)

[2244] arXiv:1407.7824 [pdf, other]

Title: Lie algebras of zero divergence vector fields on complex affine algebraic varieties

Fabrizio Donzelli

Subjects: Algebraic Geometry (math.AG)

[2245] arXiv:1407.7826 [pdf, other]

Title: New Descriptions of Demazure Tableaux and Right Keys, with Applications to Convexity

Matthew J. Willis

Comments: Ph. D. thesis completed at University of North Carolina at Chapel Hill in April of 2012

Subjects: Combinatorics (math.CO)

[2246] arXiv:1407.7827 [pdf, other]

Title: Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

Nathan M. Dunfield, Neil R. Hoffman, Joan E. Licata

Comments: 19 pages, 2 figures. v2: minor changes to intro. v3: accepted version, to appear in Math. Res. Letters

Journal-ref: Math. Res. Letters, 22 (2015), 1679-1698

Subjects: Geometric Topology (math.GT)

[2247] arXiv:1407.7828 [pdf, other]

Title: Existence results for viscous polytropic fluids with degenerate viscosities and far field vacuum

Shengguo Zhu

Comments: 30pages

Subjects: Analysis of PDEs (math.AP)

[2248] arXiv:1407.7830 [pdf, other]

Title: Existence results and blow-up criterion of compressible radiation hydrodynamic equations

Yachun li, Shengguo Zhu

Comments: 47pages

Subjects: Analysis of PDEs (math.AP)

[2249] arXiv:1407.7831 [pdf, other]

Title: Blow-up criterion for the $3$D non-resistive compressible Magnetohydrodynamic equations

Shuai Xi, Shengguo Zhu

Comments: 22 pages. arXiv admin note: text overlap with arXiv:1401.2705

Subjects: Analysis of PDEs (math.AP)

[2250] arXiv:1407.7834 [pdf, other]

Title: Virtual Geometricity is Rare

Christopher H. Cashen, Jason F. Manning

Comments: 8 pages, 2 figures v2 adds a link to the computer scripts used in the paper; v3 13pages, to appear in LMS Journal of Computation and Mathematics

Journal-ref: LMS J. Comput. Math. 18 (2015) 444-455

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)